Zero-one laws for binary random fields

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dc.creatorCoupier, David
dc.creatorDoukhan, Paul
dc.creatorYcart, Bernard
dc.date2006-05-18
dc.date.accessioned2026-07-07T07:14:22Z
dc.date.available2026-07-07T07:14:22Z
dc.descriptionA set of binary random variables indexed by a lattice torus is considered. Under a mixing hypothesis, the probability of any proposition belonging to the first order logic of colored graphs tends to 0 or 1, as the size of the lattice tends to infinity. For the particular case of the Ising model with bounded pair potential and surface potential tending to $-\infty$, the threshold functions of local propositions are computed, and sufficient conditions for the zero-one law are given.
dc.description16 pages, 1 figure. Keywords: zero-one law, first-order logic, random field, weak dependence, Ising model
dc.identifierhttps://arxiv.org/abs/math/0605502
dc.identifierhttp://arxiv.org/abs/math/0605502
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/112847
dc.subjectProbability
dc.subjectLogic
dc.subject60F20
dc.titleZero-one laws for binary random fields
dc.typetext

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